2129969000 has 64 divisors (see below), whose sum is σ = 5030110800. Its totient is φ = 844128000.

The previous prime is 2129968999. The next prime is 2129969029. The reversal of 2129969000 is 9699212.

It can be written as a sum of positive squares in 8 ways, for example, as 47141956 + 2082827044 = 6866^2 + 45638^2 .

It is a super-2 number, since 2×2129969000² = 9073535881922000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99230 + ... + 118770.

Almost surely, 2^2129969000 is an apocalyptic number.

2129969000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2129969000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2515055400).

2129969000 is an abundant number, since it is smaller than the sum of its proper divisors (2900141800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2129969000 is a wasteful number, since it uses less digits than its factorization.

2129969000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19671 (or 19657 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 38.

The square root of 2129969000 is about 46151.5871883081. The cubic root of 2129969000 is about 1286.6421092374.

The spelling of 2129969000 in words is "two billion, one hundred twenty-nine million, nine hundred sixty-nine thousand".